This paper demonstrates how the orbifold inequalities relate to stable reflexive sheaves in compact Kähler varieties, suggesting new insights on singularities.
In a previous paper, the orbifold Bogomolov-Gieseker inequality is proved for a stable reflexive sheaf on a compact Kähler variety with klt singularities. In this paper, we give a characterization on the stable reflexive sheaf when the Bogomolov-Gieseker equality holds.
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Fu et al. (2025) studied this question.
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